What is the Least Common Multiple of 79648 and 79662?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79648 and 79662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79648 and 79662, than apply into the LCM equation.

GCF(79648,79662) = 2
LCM(79648,79662) = ( 79648 × 79662) / 2
LCM(79648,79662) = 6344918976 / 2
LCM(79648,79662) = 3172459488

Least Common Multiple (LCM) of 79648 and 79662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79648 and 79662. First we will calculate the prime factors of 79648 and 79662.

Prime Factorization of 79648

Prime Factorization of 79662

Now multiplying the highest exponent prime factors to calculate the LCM of 79648 and 79662.

LCM(79648,79662) = 2⁵ × 19¹ × 131¹ × 3¹ × 11¹ × 17¹ × 71¹
LCM(79648,79662) = 3172459488